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Simplifying 5x + -3(x + -4) = 4(x + 2) + 2(9 + -2x) Reorder the terms: 5x + -3(-4 + x) = 4(x + 2) + 2(9 + -2x) 5x + (-4 * -3 + x * -3) = 4(x + 2) + 2(9 + -2x) 5x + (12 + -3x) = 4(x + 2) + 2(9 + -2x) Reorder the terms: 12 + 5x + -3x = 4(x + 2) + 2(9 + -2x) Combine like terms: 5x + -3x = 2x 12 + 2x = 4(x + 2) + 2(9 + -2x) Reorder the terms: 12 + 2x = 4(2 + x) + 2(9 + -2x) 12 + 2x = (2 * 4 + x * 4) + 2(9 + -2x) 12 + 2x = (8 + 4x) + 2(9 + -2x) 12 + 2x = 8 + 4x + (9 * 2 + -2x * 2) 12 + 2x = 8 + 4x + (18 + -4x) Reorder the terms: 12 + 2x = 8 + 18 + 4x + -4x Combine like terms: 8 + 18 = 26 12 + 2x = 26 + 4x + -4x Combine like terms: 4x + -4x = 0 12 + 2x = 26 + 0 12 + 2x = 26 Solving 12 + 2x = 26 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 2x = 26 + -12 Combine like terms: 12 + -12 = 0 0 + 2x = 26 + -12 2x = 26 + -12 Combine like terms: 26 + -12 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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